Çözüm - Faktöriyeller

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Adımları gör

Adım adım açıklama

1. Faktöriyeli bul:

992 faktöriyeli, 992 sayısına eşit veya daha küçük tüm pozitif tam sayıların çarpımıdır:

$992! = 992 \cdot 991 \cdot 990 \cdot 989 \cdot 988 \cdot 987 \cdot 986 \cdot 985 \cdot . . . \cdot 7 \cdot 6 \cdot 5 \cdot 4 \cdot 3 \cdot 2 \cdot 1 = 413842398312826866894696472371396919442634929324851388924780809697965254620618577044398390340218177910941554580023851085189271036143168085330090333845372480346417839220083028691193815642707600374199638179293857585101084431279921634417998882146999132282652142660728126729176209914535159190276583199681924776920113504638550786840323771052591357620198631607646717105226885743913126346586856780217357267308540719454619976866204133343644693029394105335470174350239808202712193514854972394995802975669954479806025480699350828001234564239506131439628600252642923851211512118151003818505668147136932425067242586921127924196537923526830973900965901775601320534693301524113179275871342760246137442694006270445405675454830997819386396475341602052912705718137586809133256591111724564148773538720324392979676616717530347183526130441255333611056092858401339515473263337915897592030074501169886014768602055508064697315940834657755883239837928163417880566353757190780276680409526571536599079907731527830919319534769696707801138906949098626605517946495144219377790923245153305868464003840566900143560013500334214184088413301688659250469898773494574463364572834778387042930513281746083394232208056659330719517327760530370461468142996347959554489582614437321532355415103518476396918907627937301442202456371862452306346989873460642836654033639749140028317087663806079366891489144624691530882994872438209537049452869652464223628512508212139447456752777715788185226772495237421220750645688821295473662596761795150846623689485565686348524471228386617343528686122581533975672433269900851158021302202873152023373554622129620419713715959661846497090268686085353071729807851046415611525890767743810522298806855476999615235097428719411323519525994873309577338210670984784181275131444726615458191887649825203217501032620154993911903774453841390847943668903578840753026993796451591948456826788174244280290137880335040343254840749987865335839274095491214007186017824841250799988923133153512119070364166614060071453638148797068313535873099314453437028190257511208757774479773122422995091857024638545915815943090536780460418803624663054833966372530718255959822575047371695295377002633624196134812825951255669840851605641116090593728347924906096861648061173643746458851838571164108849648258410818937164606023478944405279928497681203200000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000$

Nasıldı performansımız?

Lütfen bize geri bildirim bırakın.

Bunu neden öğrenmeliyim

Dünyada bulunan atomların sayısından daha fazla bir destede kartın düzenlemesi vardır. Aslında, standart bir elli iki kartlık deste karıştırdığınız ve sırayla yere serdiğinizde, muhtemelen bu düzenin tüm insanlık tarihinde ilk ve son zamanı olacak. Faktöriyel sayesinde böylesine büyük sayıları hayal etmeye çalışmak zorunda kalmayız.

Faktöriyel, genellikle bir sayının ardından gelen ünlem işaretiyle ifade edilir (örneğin: $10!$ ) ve genellikle bir şeylerin farklı kombinasyonlarının veya permütasyonlarının sayısını belirlemek için matematikte sıkça kullanılır. Kart örneğimizde, faktöriyel $52!$ olurdu, bu da yaklaşık olarak $8$ 'in 67 sıfırıyladır.
Sonraki kart oyununda desteğe bir göz atın. Muhtemelen ellerinizde daha önce hiç var olmamış ve bir daha asla olmayacak benzersiz bir şey tutuyorsunuz.

Terimler ve konular

Faktöriyel Konusu

Çözüm - Faktöriyeller

Adım adım açıklama

1. Faktöriyeli bul:

Bunu neden öğrenmeliyim

Terimler ve konular

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